Replies

1. 
   rob_ss | Sep 28, 2019 03:59am | #1

   I am not sure what you mean but will have a go:

   There are two correct answers, I think:

   1. 1" centrewards of the table rim;
   2. 16" out from the centrepoint;

   X axis is not a meaningful term in circles unless you are plotting them using vector rotation. This page gives the necessary formula and explanation: https://academo.org/demos/rotation-about-point/
   This is useful in computing when drawing circles (as you need calculate only one sin and one cos for the whole job, so it's very fast) but I am not convinced it has much to do with woodwork!

2. 
   mikaol | Sep 29, 2019 12:42pm | #2

   Hope this clarifies things: I have 3' and 2' wide pieces to build a circular table top out of. Starting with the 3' From the center outward, at what point is it safe to use the 2' pieces and not lose continuity of the circle?

3. 
   revbob | Sep 30, 2019 07:23am | #3

   This information helps. It’s best to figure it out by doing a full scale layout to see where the parts fit.

4. 
   CSilk82 | Sep 30, 2019 09:50am | #4

   If I understand the question correctly, at just shy of 5.75" out from the center, you'll hit a 32" width perpendicular to that 5.75". See CAD attached.

   
5. 
   rob_ss | Oct 01, 2019 05:45am | #5

   Oh, I understand now.
   The formula is not hard.
   You have to think of the distance out from the centre as the base of a right-angled triangle, and then it's easy to work out using Pythagoras.

   The hypotenuse will always be your table radius.
   Half the length of the shorter board will be the adjacent (or opposite, it matters not)

   Radius ^2 - Half the length of the shorter board ^2 = your distance from centre ^ 2

   In this case, 17 ^2 - 12 ^2 = X ^2

   sqrt(17 ^2 - 12 ^2) = X

   X = 12.04 inches.

   So, if you want to fit this on with a minimum wastage of the longer boards, your option is to make a 24.08 inch wide board with the longer pieces (I'd do a little more as this will leave you zero tolerance for error) then tack on the shorter boards to complete the width.

   The attachment shows this worked on paper - one square to one inch.

   
6. 
   mikaol | Oct 04, 2019 10:35am | #6

   To Rob_SS,
   Thank you. You saved my life and lots of complaining from a persnickety (the nice word) client. She bought the wood online and left me with varying 3/4" thicknesses & lengths.
   It's amazing how 3/4" wood purchased on 1 site varies so much from another. Then again, it depends on who's doing the measuring. And the wood, of course.